U-tiling: UQC3515
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc666 |
*22222 |
(3,5,2) |
{4,4,4} |
{4.6.6.4}{6.6.6.6}{6.6.6.6} |
s-nets
3 records listed.
Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
P
|
False
|
|
sqc2058
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4} |
8 |
(3,5) |
G
|
False
|
|
sqc7761
|
|
Fddd |
70 |
orthorhombic |
{4,4,4} |
16 |
(3,5) |
D
|
False
|
|
sqc146
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4} |
4 |
(3,5) |
Topological data
Vertex degrees | {4,4,4} |
2D vertex symbol | {4.6.6.4}{6.6.6.6}{6.6.6.6} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.4:128:33 66 67 5 7 72 41 82 83 13 15 88 49 98 99 21 23 104 57 114 115 29 31 120 90 91 37 39 96 74 75 45 47 80 122 123 53 55 128 106 107 61 63 112 89 69 71 81 77 79 85 87 93 95 121 101 103 113 109 111 117 119 125 127,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,9 3 12 13 22 23 80 11 30 31 96 25 19 28 29 112 27 128 41 35 44 45 54 55 88 43 62 63 72 57 51 60 61 120 59 104 81 67 84 85 102 103 89 75 92 93 110 111 83 118 119 91 126 127 113 99 116 117 121 107 124 125 115 123:4 6 4 6 4 6 4 6 6 6 6 6,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 58): 'tau2', (0, 56): 't1', (0, 57): 'tau2', (0, 63): 'tau2', (0, 50): 'tau3^-1', (0, 48): 't1', (0, 49): 'tau3^-1', (0, 55): 'tau3^-1', (2, 47): 't3^-1', (2, 39): 't2^-1', (0, 26): 'tau3', (0, 25): 'tau3', (0, 31): 'tau3', (0, 18): 'tau2^-1', (0, 17): 'tau2^-1', (0, 23): 'tau2^-1', (2, 15): 't2', (2, 7): 't3', (0, 112): 'tau3^-1*t1^-1*tau2', (2, 124): 't2*tau1*t3^-1', (2, 125): 't2', (0, 120): 'tau3*t1*tau2^-1', (2, 120): 't2*tau1*t3^-1', (2, 123): 't2*tau1*t3^-1', (2, 117): 't2^-1', (2, 118): 't2^-1', (2, 112): 't2^-1*tau1^-1*t3', (2, 115): 't2^-1*tau1^-1*t3', (2, 109): 't3', (2, 110): 't3', (2, 100): 't3^-1*tau1*t2', (2, 101): 't3^-1', (2, 102): 't3^-1', (2, 92): 'tau1', (2, 94): 't2^-1', (2, 88): 'tau1', (2, 91): 'tau1', (2, 84): 'tau1^-1', (2, 80): 'tau1^-1', (2, 83): 'tau1^-1'}